Final answer:
To find the expected wait time for children to clean their rooms with a cleaning interval uniformly distributed between 1 and 15 days, calculate the average (mean) which is (1 day + 15 days) / 2, resulting in an expectation of 8 days.
Step-by-step explanation:
The subject matter of the question seems to be confused between a couple of different themes, but the core concept is mathematics, most likely focused on probability or understanding word problems. Specifically, the question refers to the concept of a uniform distribution time interval from one to 15 days, which is a mathematical concept used to represent the probability of an event occurring within a given range.
The answer to the question, 'How long must a parent expect to wait for his children to clean their rooms if it is uniformly distributed in the time interval from one to 15 days?' is found by calculating the average (mean) of the minimum and maximum days. The formula for the average of a uniform distribution is (minimum + maximum) / 2. Therefore, (1 day + 15 days) / 2 = 8 days. The parent can expect an average wait time of 8 days for the cleaning to be done.